%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN405+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:26:30 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   32 (  12   ~;   5   |;  12   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   21 (  13   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(resolution,[],[f11,f9]) ).

fof(f9,plain,
    g(sK0),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ! [X0] :
        ( ~ f(X0)
        | ~ g(X0) )
    & g(sK0)
    & ! [X2] : f(X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f6,plain,
    ( ? [X1] : g(X1)
   => g(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ! [X0] :
        ( ~ f(X0)
        | ~ g(X0) )
    & ? [X1] : g(X1)
    & ! [X2] : f(X2) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ( ! [X2] :
        ( ~ f(X2)
        | ~ g(X2) )
    & ? [X1] : g(X1)
    & ! [X0] : f(X0) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ( ! [X2] :
        ( ~ f(X2)
        | ~ g(X2) )
    & ? [X1] : g(X1)
    & ! [X0] : f(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ? [X1] : g(X1)
        & ! [X0] : f(X0) )
     => ? [X2] :
          ( f(X2)
          & g(X2) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ? [X1] : g(X1)
      & ! [X0] : f(X0) )
   => ? [X2] :
        ( f(X2)
        & g(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish239) ).

fof(f11,plain,
    ! [X0] : ~ g(X0),
    inference(subsumption_resolution,[],[f10,f8]) ).

fof(f8,plain,
    ! [X2] : f(X2),
    inference(cnf_transformation,[],[f7]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ f(X0)
      | ~ g(X0) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN405+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 21:53:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (11900)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.49  % (11917)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49  % (11910)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49  % (11917)First to succeed.
% 0.19/0.49  Detected maximum model sizes of [1]
% 0.19/0.49  % (11900)Also succeeded, but the first one will report.
% 0.19/0.49  TRYING [1]
% 0.19/0.49  % (11917)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (11917)------------------------------
% 0.19/0.49  % (11917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (11917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (11917)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (11917)Memory used [KB]: 5884
% 0.19/0.49  % (11917)Time elapsed: 0.098 s
% 0.19/0.49  % (11917)Instructions burned: 1 (million)
% 0.19/0.49  % (11917)------------------------------
% 0.19/0.49  % (11917)------------------------------
% 0.19/0.49  % (11892)Success in time 0.148 s
%------------------------------------------------------------------------------